The drawback of the parameter estimation method for ARMA SαS process based on fractional lower order moments（FLOM） was analyzed

and based on the conception of fractional lower order covariance（FLOC）

a new parameter estimation method of ARMA SαS process was proposed based on FLOC coefficient.Then

the α-spectrum estimation of ARMA SαS process was presented.By estimating the α-spectrum of ARMA SαS process and the sinusoidal signals that embedded in the α-stable noise

the α-spectrum estimation performances of ARMA SαS process based on FLOM and FLOC were compared in detail.Simulation results show that

for small values of alpha

the performance of the proposed α-spectrum estimation method for ARMA SαS process based on FLOC provides better performance than the method based on FLOM.